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Finding the Fourth Proportional to 1,492.83, 2,239.65 and 519.01

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Solution

The fourth proportional to 1,492.83, 2,239.65 and 519.01 is: 778.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.83 : 2,239.65 = 519.01 : x
  2. Step 2: Convert to fraction form
    1,492.83/2,239.65 = 519.01/x
  3. Step 3: Cross multiply
    1,492.83x = 2,239.65 × 519.01
  4. Step 4: Simplify right side
    1,492.83x = 1,162,395.15
  5. Step 5: Solve for x
    x = 1,162,395.15/1,492.83
  6. Step 6: Final answer
    x = 778.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.